coinitial

C3O1I1N1I1T1I1A1L1

adjective

Having an element b for each element a in the superset such that b is less than or equal to a.

Scrabble 11

Meanings

adjectivecoinitial (not comparable)
  1. not comparablemathematicsHaving an element b for each element a in the superset such that b is less than or equal to a.
    1 more example

    The dual notion of cofinality is coinitiality: a set S#92;subseteqP is called coinitial if for every p#92;inP there is q#92;inS such that q#92;lep. Equivalently, a coinitial set in P is a cofinal set in P#92;ast#58;#61;(P,#92;ge). […] Both cofinality and coinitiality need not be well-defined for an arbitrary partial order (e.g. if the partial order is only made of two incomparable elements).

    2024 November 12, Steffen Lempp, Alberto Marcone, Manlio Valenti, “Chains and antichains in the Weihrauch lattice”, in arXiv, page 1, archived from the original on 23 Jun 2026

Origin

  1. Proto-Indo-European*ḱe?
  2. Proto-Indo-European*ḱóm
  3. Proto-Italic*kom
  4. Proto-Italic*kom-
  5. Latincon-
  6. Latinco-
  7. Englishco-
  8. Proto-Indo-European*h₁én
  9. Proto-Italic*en
  10. Proto-Italic*en-
  11. Proto-Indo-European*h₁ey-
  12. Proto-Indo-European*h₁éyti
  13. Proto-Italic*ejō
  14. Proto-Italic*eō
  15. Proto-Italic*eneō
  16. Latinineō
  17. Latininitium
  18. Proto-Indo-European*h₂el-
  19. Proto-Indo-European*h₂élisder.?
  20. Latininitiāli
  21. Middle Frenchinitia
  22. Latininitiāli
  23. Englishinitial
  24. Englishcoinitial

From co- + initial.

Full word history & related roots →

Rhymes & wordplay

Anagrams

Cite this entry
APA

coinitial. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/coinitial

MLA

“coinitial.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/coinitial. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “coinitial,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/coinitial.

Source: coinitial on Wiktionary, CC BY-SA 4.0.